Results 181 to 190 of about 498,085 (213)

Recurrence triangle for Adomian polynomials

Applied Mathematics and Computation, 2010
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Jun-Sheng Duan
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New method for calculating Adomian polynomials

Applied Mathematics and Computation, 2004
The Adomian method is used for solving nonlinear functional equations without discretization or linearization. This technique allows to obtain analytical solutions explicitly depending on time and state variables. The method is based on the calculus of special polynomials (called Adomian polynomials) and the authors give an original technique for ...
Babolian, E., Javadi, Sh.
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Solution of the Telegraph Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomials

Information Sciences Letters, 2021
In this paper, we will apply the Adomian decomposition method (ADM) to three different examples of the Telegraph Equation with a nonlinear term by the two polynomials called Adomian polynomials and the new accelerated Adomian polynomials proposed by El ...
A. Y. Sayed, K. M. Abdelgaber, A. R. Elmahdy, I. El-Kalla   +3 more
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Adomian decomposition method with Chebyshev polynomials

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.M. Hosseini
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A new algorithm for calculating Adomian polynomials

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Yonggui, Chang, Qianshun, Wu, Shengchang   +2 more
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An efficient algorithm for the multivariable Adomian polynomials

Applied Mathematics and Computation, 2010
The Adomian decomposition methods are efficient techniques for solving nonlinear functional equations. This problem appears in coupled nonlinear differential equations \(Lu+Ru+Nu=g(t)\), where \(L+R\) is the linear part and \(N\) is a nonlinear operator. The method consists in the decomposition of \(Nu=f(u)\) in the series of Adomian polynomials \(A_n=\
Jun-Sheng Duan
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New applications of variational iteration method using Adomian polynomials

Nonlinear Dynamics, 2007
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El-Wakil, S. A., Abdou, M. A.
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A new definition of the Adomian polynomials

Kybernetes, 2008
PurposeTo provide a new proof of convergence of the Adomian decomposition series for solving nonlinear ordinary and partial differential equations based upon a thorough examination of the historical milieu preceding the Adomian decomposition method.Design/methodology/approachDevelops a theoretical background of the Adomian decomposition method under ...
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Symbolic Computation of Adomian Polynomials Based on Rach’s Rule

British Journal of Mathematics & Computer Science, 2015
This paper presents a simple way of computing Adomian polynomials by applying the decomposition of positive integers as a subscript of the variable ‘u’ for nonlinear terms much similarly motivated by Abbaoui et al. through the use of MATLAB software. The proposed MATLAB program exploits symbolic programming for generating Adomian polynomials.
M. Kaliyappan, S. Hariharan
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A reliable symbolic implementation of algorithm for calculating Adomian polynomials

Applied Mathematics and Computation, 2006
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